25768512 has 252 divisors, whose sum is σ = 94859856. Its totient is φ = 6612480.

The previous prime is 25768511. The next prime is 25768513. The reversal of 25768512 is 21586752.

It is a happy number.

25768512 is a `hidden beast` number, since 2 + 576 + 85 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (25768511) and next prime (25768513).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25768511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310423 + ... + 310505.

It is an arithmetic number, because the mean of its divisors is an integer number (376428).

Almost surely, 2^25768512 is an apocalyptic number.

25768512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47429928).

25768512 is an abundant number, since it is smaller than the sum of its proper divisors (69091344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25768512 is a wasteful number, since it uses less digits than its factorization.

25768512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 25768512 is about 5076.2694963920. The cubic root of 25768512 is about 295.3677764840.

The spelling of 25768512 in words is "twenty-five million, seven hundred sixty-eight thousand, five hundred twelve".